6t^2+13r+6=0

Solution for 6t^2+13r+6=0 equation:

Simplifying
6t2 + 13r + 6 = 0

Reorder the terms:
6 + 13r + 6t2 = 0

Solving
6 + 13r + 6t2 = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + 13r + -6 + 6t2 = 0 + -6

Reorder the terms:
6 + -6 + 13r + 6t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 13r + 6t2 = 0 + -6
13r + 6t2 = 0 + -6

Combine like terms: 0 + -6 = -6
13r + 6t2 = -6

Add '-6t2' to each side of the equation.
13r + 6t2 + -6t2 = -6 + -6t2

Combine like terms: 6t2 + -6t2 = 0
13r + 0 = -6 + -6t2
13r = -6 + -6t2

Divide each side by '13'.
r = -0.4615384615 + -0.4615384615t2

Simplifying
r = -0.4615384615 + -0.4615384615t2